Sufficiency of weighted jets using Paunescu’s singular metric

Detalhes bibliográficos
Autor(a) principal: Costa, João Carlos Ferreira [UNESP]
Data de Publicação: 2024
Outros Autores: Saia, Marcelo José, Soares Junior, Carlos Humberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s13398-024-01553-8
https://hdl.handle.net/11449/300082
Resumo: In this work we consider the Paunescu’s singular metric in the source to investigate the bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs with a fixed weighted degree. This approach was motivated by the works of Paunescu, who investigated the V-sufficiency from the weighted point of view considering this metric in the source. Here we show a criterion for the bi-Lipschitz and differentiable sufficiency in the jet space of weighted jets taking into account the effect of this Paunescu’s singular metric on Rn.
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spelling Sufficiency of weighted jets using Paunescu’s singular metric58K1558K4058K65Paunescu’s singular metricSufficiency of jetsWeighted jets58k1558k4058k65LipschitzSufficiency of jetWeighted degreeWeighted jetIn this work we consider the Paunescu’s singular metric in the source to investigate the bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs with a fixed weighted degree. This approach was motivated by the works of Paunescu, who investigated the V-sufficiency from the weighted point of view considering this metric in the source. Here we show a criterion for the bi-Lipschitz and differentiable sufficiency in the jet space of weighted jets taking into account the effect of this Paunescu’s singular metric on Rn.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas, São José do Rio PretoUniversidade Federal de São Carlos (UFSCar) Centro de Ciências Exatas e Tecnologia, São CarlosUniversidade Federal do Piauí (UFPI) Centro de Ciências da Natureza, PiauíUniversidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas, São José do Rio PretoFAPESP: 2019/21181-0FAPESP: 2023/08176-2Universidade Estadual Paulista (UNESP)Universidade Federal de São Carlos (UFSCar)Centro de Ciências da NaturezaCosta, João Carlos Ferreira [UNESP]Saia, Marcelo JoséSoares Junior, Carlos Humberto2025-04-29T18:48:34Z2024-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s13398-024-01553-8Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, v. 118, n. 2, 2024.1579-15051578-7303https://hdl.handle.net/11449/30008210.1007/s13398-024-01553-82-s2.0-85187123669Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicasinfo:eu-repo/semantics/openAccess2025-04-30T13:41:47Zoai:repositorio.unesp.br:11449/300082Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-04-30T13:41:47Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Sufficiency of weighted jets using Paunescu’s singular metric
title Sufficiency of weighted jets using Paunescu’s singular metric
spellingShingle Sufficiency of weighted jets using Paunescu’s singular metric
Costa, João Carlos Ferreira [UNESP]
58K15
58K40
58K65
Paunescu’s singular metric
Sufficiency of jets
Weighted jets
58k15
58k40
58k65
Lipschitz
Sufficiency of jet
Weighted degree
Weighted jet
title_short Sufficiency of weighted jets using Paunescu’s singular metric
title_full Sufficiency of weighted jets using Paunescu’s singular metric
title_fullStr Sufficiency of weighted jets using Paunescu’s singular metric
title_full_unstemmed Sufficiency of weighted jets using Paunescu’s singular metric
title_sort Sufficiency of weighted jets using Paunescu’s singular metric
author Costa, João Carlos Ferreira [UNESP]
author_facet Costa, João Carlos Ferreira [UNESP]
Saia, Marcelo José
Soares Junior, Carlos Humberto
author_role author
author2 Saia, Marcelo José
Soares Junior, Carlos Humberto
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Federal de São Carlos (UFSCar)
Centro de Ciências da Natureza
dc.contributor.author.fl_str_mv Costa, João Carlos Ferreira [UNESP]
Saia, Marcelo José
Soares Junior, Carlos Humberto
dc.subject.por.fl_str_mv 58K15
58K40
58K65
Paunescu’s singular metric
Sufficiency of jets
Weighted jets
58k15
58k40
58k65
Lipschitz
Sufficiency of jet
Weighted degree
Weighted jet
topic 58K15
58K40
58K65
Paunescu’s singular metric
Sufficiency of jets
Weighted jets
58k15
58k40
58k65
Lipschitz
Sufficiency of jet
Weighted degree
Weighted jet
description In this work we consider the Paunescu’s singular metric in the source to investigate the bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs with a fixed weighted degree. This approach was motivated by the works of Paunescu, who investigated the V-sufficiency from the weighted point of view considering this metric in the source. Here we show a criterion for the bi-Lipschitz and differentiable sufficiency in the jet space of weighted jets taking into account the effect of this Paunescu’s singular metric on Rn.
publishDate 2024
dc.date.none.fl_str_mv 2024-04-01
2025-04-29T18:48:34Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s13398-024-01553-8
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, v. 118, n. 2, 2024.
1579-1505
1578-7303
https://hdl.handle.net/11449/300082
10.1007/s13398-024-01553-8
2-s2.0-85187123669
url http://dx.doi.org/10.1007/s13398-024-01553-8
https://hdl.handle.net/11449/300082
identifier_str_mv Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, v. 118, n. 2, 2024.
1579-1505
1578-7303
10.1007/s13398-024-01553-8
2-s2.0-85187123669
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
_version_ 1854948688629071872

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